Respuesta :

Answer:

y = -3x - 1

Step-by-step explanation:

To find the slope, use the slope formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Plugging in the given values, we have: [tex]\frac{-4-2}{1-(-1)}[/tex]

[tex]\frac{-4-2}{1-(-1)}[/tex]

= [tex]\frac{-6}{2}[/tex]

= -3

Now that we know that the slope is -3, we need to find the y-intercept. Anazlyzing the graph, we can see that the line passes through the point (0, -1) on the y-axis, therefore, that is our y-intercept.

Combining the information, the result is: y = -3x - 1

hope this helps!